535109120 has 160 divisors (see below), whose sum is σ = 1579773888. Its totient is φ = 169279488.

The previous prime is 535109117. The next prime is 535109129. The reversal of 535109120 is 21901535.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 535109120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535109129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231812 + ... + 234108.

Almost surely, 2^535109120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789886944).

535109120 is an abundant number, since it is smaller than the sum of its proper divisors (1044664768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

535109120 is a wasteful number, since it uses less digits than its factorization.

535109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 535109120 is about 23132.4257266721. The cubic root of 535109120 is about 811.8593267434.

The spelling of 535109120 in words is "five hundred thirty-five million, one hundred nine thousand, one hundred twenty".